101000111001 has 8 divisors (see below), whose sum is σ = 135002643744. Its totient is φ = 67165492800.

The previous prime is 101000110891. The next prime is 101000111057. The reversal of 101000111001 is 100111000101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101000111001 - 2¹¹ = 101000108953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41977231 + ... + 41979636.

It is an arithmetic number, because the mean of its divisors is an integer number (16875330468).

Almost surely, 2^101000111001 is an apocalyptic number.

It is an amenable number.

101000111001 is a deficient number, since it is larger than the sum of its proper divisors (34002532743).

101000111001 is an equidigital number, since it uses as much as digits as its factorization.

101000111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83957271.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000111001 its reverse (100111000101), we get a palindrome (201111111102).

The spelling of 101000111001 in words is "one hundred one billion, one hundred eleven thousand, one".